The slope intercept form is y = me+b
According to the given table, the slope-intercept equation of the line is given by:
![y = -2x + 1](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%201)
The equation of a line, in <em>slope-intercept</em> form, is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
In which:
In this problem, we are given two points, (3,-5) and (-2,5).
- The slope is given by <u>change in y divided by change in x</u>, hence:
![m = \frac{5 - (-5)}{-2 - 3} = -2](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B5%20-%20%28-5%29%7D%7B-2%20-%203%7D%20%3D%20-2)
Hence:
![y = -2x + b](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%20b)
Point (3,-5) means that when
, which is used to find b.
![y = -2x + b](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%20b)
![-5 = -2(3) + b](https://tex.z-dn.net/?f=-5%20%3D%20-2%283%29%20%2B%20b)
![b = 1](https://tex.z-dn.net/?f=b%20%3D%201)
Hence, the equation of the line is:
![y = -2x + 1](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%201)
A similar problem is given at brainly.com/question/24685547
I graphed it out and it seems that both A and C are correct. I would check them to make sure.
It’s -3/2 :) Hope this helps!
That would be a right-angled triangle.